Journal Name, Vol. 1, © 2015 Ahmad M. Hailan, open access article. Distributed under the terms of Creative Commons Attribution (CC BY) license 4.0. Journal of Networks and Telecommunication Systems, Vol. 1 (1), 50-53, Dec., 2015 ISSN: Pending, DOI: Pending, Published online: www.unitedscholars.net/archive The Model and the Method of Two-Level Routing in MPLS Network Ahmad M. Hailan 1 , Wijdan R. Abdulhussien 2 , Naofal M. Hassan 3 , Jehan Kadhim Al-Safi 4 1 Collage Of Media, Digital Media Department, Thi-Qar University, Nasiriya, Iraq, onlineahmeds@gmail.com 2 College of Computer Science and Mathematics, Computer Science Dept., Thi-Qar University, Nasiriya, Iraq, wijdan_r_a@yahoo.com 3 College of Computer Science & Mathematics, Computer Science Dept., Thi-Qar University, Nasiriya, Iraq, nawofel_aziz@yahoo.com 4 Collage Of Media, Digital Media Dept., Thi-Qar University, Nasiriya, Iraq, jihansh@yahoo.com ABSTRACT In this article, the mathematical model for traffic management in MPLS network is proposed. This model explains the processes of routing and distributing channel resources. Furthermore the method of two-level traffic management in the MPLS network is offered in order to improve the scalability of the solutions, on the basis of the goal coordination method. Keywords: MPLS, routing, QoS, NGN INTRODUCTION MPLS technology (Multiprotocol Label Switching) is currently considered as the main transport platform for modern telecommunication systems [1, 2]. During development, previous experiences of transport technologies such as IP (Internet Protocol) and ATM (Asynchronous Transfer Mode) were considered. That’s why a combination of IP-routing principles and high speed ATM-switching was implemented in MPLS technology. As a result, MPLS uses virtual connections with source-based routing, that significantly expands the capabilities of the quality of service (QoS) support in this technology. However, along with the advantages, MPLS has a number of disadvantages that are specific to traditional routing technologies. First of all, there are routing problems of scalability in the case of territorial distribution of the telecommunication system, increase of network nodes number and their consistency, permanent user traffic growth and the expansion of QoS parameters list. Analysis has shown [3, 4] that the main way to improve existing and emerging routing protocols, is to reevaluate the routing mathematical models and methods, which are primarily associated with the transition to the flow-based models. Flow-based models, compared to graph-based, take into account structural and functional parameters of telecommunication systems and the traffic characteristics. In order to improve scalability of flow-based models, effective solutions are based on the principles of multi-level (hierarchical) routing [5, 6] that is traditionally used. Due to this, current papers introduced the routing mathematical model that follows the multi-level flow-based routing models class, and adapted to the features of MPLS-network’s engineering and functions. STRUCTURAL DESCRIPTION OF MPLS- NETWORK Let’s MPLS-network structure (Fig. 1) is described by graph ) , ( E M G = , where M – is the set of nodes and E – is the set of transmission paths in the network. According to the MPLS engineering principles, the whole set of nodes can be divided into two subsets: { } LER r m r M M , 1 , = = + + – is the label edge router’s subset (LER) and { } LSR j m j M M , 1 , = = − − – is the label switching router’s subset of (LSR). Each arc E j i ∈ ) , ( on the